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2557988496 = 243272639649
BaseRepresentation
bin1001100001110111…
…1100111010010000
320121021022021112200
42120131330322100
520214321112441
61101454323200
7120250354260
oct23035747220
96537267480
102557988496
1110a2a10688
125b47b9500
13319c5397b
141a3a277a0
15ee8827b6
hex9877ce90

2557988496 has 120 divisors (see below), whose sum is σ = 8213462400. Its totient is φ = 727999488.

The previous prime is 2557988437. The next prime is 2557988501. The reversal of 2557988496 is 6948897552.

2557988496 is a `hidden beast` number, since 2 + 5 + 57 + 98 + 8 + 496 = 666.

2557988496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260280 + ... + 269928.

It is an arithmetic number, because the mean of its divisors is an integer number (68445520).

Almost surely, 22557988496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557988496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106731200).

2557988496 is an abundant number, since it is smaller than the sum of its proper divisors (5655473904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2557988496 is a wasteful number, since it uses less digits than its factorization.

2557988496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9924 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 2557988496 is about 50576.5607371636. The cubic root of 2557988496 is about 1367.6223693479.

The spelling of 2557988496 in words is "two billion, five hundred fifty-seven million, nine hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 263 336 504 526 789 1008 1052 1578 1841 2104 2367 3156 3682 4208 4734 5523 6312 7364 9468 9649 11046 12624 14728 16569 18936 19298 22092 28947 29456 33138 37872 38596 44184 57894 66276 67543 77192 86841 88368 115788 132552 135086 154384 173682 202629 231576 265104 270172 347364 405258 463152 540344 607887 694728 810516 1080688 1215774 1389456 1621032 2431548 2537687 3242064 4863096 5075374 7613061 9726192 10150748 15226122 17763809 20301496 22839183 30452244 35527618 40602992 45678366 53291427 60904488 71055236 91356732 106582854 121808976 142110472 159874281 182713464 213165708 284220944 319748562 365426928 426331416 639497124 852662832 1278994248 2557988496